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Finding the Fourth Proportional to 12,737, 17,578.68 and 7,148

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Solution

The fourth proportional to 12,737, 17,578.68 and 7,148 is: 9,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737 : 17,578.68 = 7,148 : x
  2. Step 2: Convert to fraction form
    12,737/17,578.68 = 7,148/x
  3. Step 3: Cross multiply
    12,737x = 17,578.68 × 7,148
  4. Step 4: Simplify right side
    12,737x = 125,652,404.64
  5. Step 5: Solve for x
    x = 125,652,404.64/12,737
  6. Step 6: Final answer
    x = 9,865.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.